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Finding the Fourth Proportional to 9,670.32, 13,349.61 and 7,548.93

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Solution

The fourth proportional to 9,670.32, 13,349.61 and 7,548.93 is: 10,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.32 : 13,349.61 = 7,548.93 : x
  2. Step 2: Convert to fraction form
    9,670.32/13,349.61 = 7,548.93/x
  3. Step 3: Cross multiply
    9,670.32x = 13,349.61 × 7,548.93
  4. Step 4: Simplify right side
    9,670.32x = 100,775,271.42
  5. Step 5: Solve for x
    x = 100,775,271.42/9,670.32
  6. Step 6: Final answer
    x = 10,421.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.